Microlocal analysis for waves propagating in Einstein \& de Sitter spacetime

DOI10.1007/s11040-014-9151-8zbMath1319.35151OpenAlexW2019619845MaRDI QIDQ471830

Karen Yagdjian, Anahit Galstian

Publication date: 17 November 2014

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-014-9151-8

zbMATH Keywords

Euler-Poisson-Darboux equation, Sobolev estimatespropagation of singularities.Wave equation on de Sitter background

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Euler-Poisson-Darboux equations (35Q05)

Related Items (11)

Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant ⋮ On a semilinear wave equation in anti-de Sitter spacetime: The critical case ⋮ Explicit formulas and decay rates for the solution of the wave equation in cosmological spacetimes ⋮ Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime ⋮ Global well-posedness of a class of singular hyperbolic Cauchy problems ⋮ Integral Transform Approach to Time-Dependent Partial Differential Equations ⋮ Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime ⋮ Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime ⋮ Continuity of pullback attractors for evolution processes associated with semilinear damped wave equations with time-dependent coefficients ⋮ Solutions of the wave equation bounded at the Big Bang ⋮ Decay of solutions of the wave equation in expanding cosmological spacetimes

Cites Work

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• A note on wave equation in Einstein and de Sitter space-time
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